Python Task -Factorial Problem using Loop

1,A king announces a unique reward for Hard Workers. On each day, the reward is multiplied by the day's number. The reward starts at 1 gold coin. Given the number of days n, write a program to calculate the final reward.

days=int(input("Enter no of days : "))

rewards=1;

for i in range(1,days+1):
    rewards*=i

print("Total rewards for" , days,"days is : ",rewards)   

2,Suppose a password consists of the letters:
A, B, C, D. Each letter must be used exactly once. How many different passwords are possible?

letters=['A','B','C','D']
passwordCount=1;

for i in range(1,len(letters)+1):
    passwordCount *= i

print('passwordCount',passwordCount)    

3,Frog in a Well A frog accidentally falls into a 60-foot-deep well. Every day: * During the day, the frog climbs 2 feet. * During the night, it slips down 0.5 feet. This pattern continues every day until the frog reaches the top of the well and escapes. Write a program to determine: 1. How many days it takes for the frog to get out of the well. 2. On which day the frog escapes. Note: Once the frog reaches or crosses the top of the well during the daytime, it escapes immediately and does not slip back that night.

totalFeet = 60
days = 1
daytime = 2

while totalFeet > 0:
    totalFeet -= daytime

    if totalFeet <= 0:
        print(days)
        break

    totalFeet += 0.5
    days += 1

4,
A saint goes for a morning walk every day. During his walk, he plucks flowers and keeps them in a basket.

On his way back home, he visits 7 temples. At each temple, he offers half of the flowers currently in his basket.

After visiting all 7 temples, he reaches home with exactly one flower remaining in his basket.

Write a program to determine how many flowers the saint had in his basket before he visited the first temple.

Hint: Think carefully about whether it is easier to solve the problem from the beginning or by working backwards from the final flower.

temple=7
flowers=1

for i in range(1,temple+1):
    flowers*=2

print("total Flowers: " , flowers)